Results 1 to 10 of about 1,744 (255)

On generalized some integral inequalities for local fractional integrals

open access: yesApplied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseyin Budak   +2 more
exaly   +4 more sources

Some Integral Inequalities for Local Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
M. Zeki Sarikaya   +2 more
doaj   +5 more sources

New Inequalities for Local Fractional Integrals

open access: yesIranian Journal of Science and Technology, Transaction A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseyin Budak   +2 more
exaly   +3 more sources

Generalized Steffensen Inequalities for Local Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2017
Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these
Mehmet Zeki Sarikaya   +2 more
doaj   +4 more sources

Some Hermite–Hadamard type inequalities for generalized h-preinvex function via local fractional integrals and their applications

open access: yesAdvances in Difference Equations, 2020
The concept of generalized h-preinvex function on real linear fractal sets R β $R^{\beta }$ ( 0 < β ≤ 1 $0 < \beta \le 1$ ) is introduced, which extends generalized preinvex, generalized s-preinvex, generalized Godunova–Levin preinvex, and generalized P ...
Wenbing Sun
doaj   +3 more sources

On a Class of Partial Differential Equations and Their Solution via Local Fractional Integrals and Derivatives

open access: yesFractal and Fractional, 2022
This article investigates the local fractional generalized Kadomtsev–Petviashvili equation and the local fractional Kadomtsev–Petviashvili-modified equal width equation.
Mohammad Abdelhadi   +2 more
doaj   +3 more sources

A novel method for approximate solution of two point non local fractional order coupled boundary value problems. [PDF]

open access: yesPLoS ONE
The aim of this paper is to investigate the solution of fractional-order partial differential equations and their coupled systems. A novel method is proposed, which effectively handles these problems under two-point non-local boundary conditions.
Lahoucine Tadoummant   +4 more
doaj   +2 more sources

Local Convergence of the FEM for the Integral Fractional Laplacian

open access: yesSIAM Journal on Numerical Analysis, 2022
We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local $H^1$-norm and the localized energy norm. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.
Markus Faustmann   +2 more
openaire   +3 more sources

On Feng Qi-type integral inequalities for local fractional integrals

open access: yesNew Trends in Mathematical Science, 2022
In this paper, we establish the generalized Qi-type inequality involving local fractional integrals on fractal sets R α (0 < α < 1) of real line numbers. Some applications for special means of fractal sets R α are also given. The results presented here would provide extensions of those given in earlier works.
AKKURT, ABDULLAH   +3 more
openaire   +3 more sources

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